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12284001 = 3323131151
BaseRepresentation
bin101110110111…
…000001100001
3212010002111000
4232313001201
511121042001
61115142213
7206261262
oct56670141
925102430
1012284001
116a30174
124144969
132711352
1418ba969
151129a86
hexbb7061

12284001 has 32 divisors (see below), whose sum is σ = 19261440. Its totient is φ = 7722000.

The previous prime is 12283961. The next prime is 12284003. The reversal of 12284001 is 10048221.

12284001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12284001 - 29 = 12283489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12284003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81276 + ... + 81426.

It is an arithmetic number, because the mean of its divisors is an integer number (601920).

Almost surely, 212284001 is an apocalyptic number.

It is an amenable number.

12284001 is a deficient number, since it is larger than the sum of its proper divisors (6977439).

12284001 is a wasteful number, since it uses less digits than its factorization.

12284001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12284001 is about 3504.8539199231. The cubic root of 12284001 is about 230.7348957379.

The spelling of 12284001 in words is "twelve million, two hundred eighty-four thousand, one".

Divisors: 1 3 9 23 27 69 131 151 207 393 453 621 1179 1359 3013 3473 3537 4077 9039 10419 19781 27117 31257 59343 81351 93771 178029 454963 534087 1364889 4094667 12284001